Question

What is the length of YZ and BC?

Answer 1

YZ = 30 and BC = 6

Explanation:

Since ABCDE and YXWVZ are similar figures then the ratios of corresponding sides are equal, that is

`(AB)/(YX)` =
`(AE)/(YZ)` ← 2 pairs of corresponding sides

that is

`(3)/(15)` =
`(6)/(YZ)` ( cross- multiply )

3YZ = 90 ( divide both sides by 3 )

YZ = 30

Similarly

`(AB)/(YX)` =
`(BC)/(XW)`, that is

`(3)/(15)` =
`(BC)/(30)` ( cross- multiply )

15BC = 90 ( divide both sides by 15 )

BC = 6